Here is the full list of all 38 Toki Tori 2+ achievements.
Sing all melodies
Whistle SOS
Let the bats kill all creatures in that one cave in the water mountain
Collect all the collectibles
Activate all landing beacons
Transport all ancient frogs
Transport the giant ancient frog to the crystal room
Transport the lava ancient frog to the crystal room
Transport the invisible ancient frog to the crystal room
Transport the tiny ancient frog to the crystal room
Transport the upside down ancient frog to the crystal room
Launch the escape Bubblecraft
Discover the crystal room
Visit the beach
Fill all collectible deposits
Discover the statue of Tokity
Collect the wings
Take every picture in the TokiDex
Activate all gates
Climb a pole
Find the dark room
Dance in the disco
Get to the end of the obstacle course
Find the rose
Crush at least 10 different types of creatures
Zap at least 6 types of creatures
View at least 7 of the island's main attractions from a bird's-eye view
Make two raged porcupines collide with each other
Get stuck in an infinite warp loop
Transport all ancient frogs without visiting the city
Photograph a ghost
Lavaaaaaargh!
Scoop up a jumping Berrybug with a Hermitcrab
Make a Berrybug jump up in a bubble
Escape a collapsing bridge
Call the map bird but don't let it pick you up
Catch a frog in its own bubble
Get rid of all the birds in the tiny ancient frog level